This lesson defines and introduces the properties of the inverse trigonometric functions. The special feature requires
inter-connections of the concepts with those previously learnt algebraic principles
and techniques. When you'll go through this interactive tutorial you'll explore
by analyzing the graph of the function and graph of its inverse. The domain and range of each of the inverse functions is also explored. The Inverse
Trigonometric Functions are meant to be the `inverses' of the standard trigonometric
functions. The inverse functions of sin, cos and tan are called arcsin, arccos and
arctan. The notations sin-1(x), cos-1(x) and tan-1(x)
are also used commonly. If y = sin x then x = arcsin y. If y = cos x then x = arccos
y. And if y = tan x then x = arctan y. That's what we would like to imply by inverse
trig functions, but the definitions technically aren't perfect, simply because the
trigonometric functions are not one-to-one. (More text
below video...)

Trigonometry - Meaning - Inverse Trigonometric Functions

Meaning - Inverse Trigonometric Functions

An equation for the inverse of y = f(x) = sin x is obtained by interchanging x and
y.

For example, sin-1 1/2 =
/6 because sin
/6 is 1/2. For the graph
of sin-1, the values of
are taken along the
x-axis and the vertical y-axis and the graph is obtained as the
sine wave turns sideways so that
becomes y and y becomes
and the function returns
to the value between -/2
and
/2. Once you go through
the instructor's explanation in the video, it'll be easy for you to understand about
these inverse trigonometric functions.

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